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Finding the Fourth Proportional to 1.24, 1.86 and 1.09

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Solution

The fourth proportional to 1.24, 1.86 and 1.09 is: 1.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.24 : 1.86 = 1.09 : x
  2. Step 2: Convert to fraction form
    1.24/1.86 = 1.09/x
  3. Step 3: Cross multiply
    1.24x = 1.86 × 1.09
  4. Step 4: Simplify right side
    1.24x = 2.03
  5. Step 5: Solve for x
    x = 2.03/1.24
  6. Step 6: Final answer
    x = 1.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.